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Finding the Third Proportional to 379,992 and 703,922

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Solution

The third proportional to 379,992 and 703,922 is: 1,303,991.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,992 : 703,922 = 703,922 : x
  2. Step 2: Convert to fraction form
    379,992/703,922 = 703,922/x
  3. Step 3: Cross multiply
    379,992x = 703,922 × 703,922
  4. Step 4: Simplify right side
    379,992x = 495,506,182,084
  5. Step 5: Solve for x
    x = 495,506,182,084/379,992
  6. Step 6: Final answer
    x = 1,303,991.09

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.